In this paper, we establish some common fixed point theorems for two pairs of occasionally weakly compatible single and set-valued maps satisfying a strict contractive condition in a metric space. Our results unify and extend many results existing in the literature including those of Aliouche [3], Bouhadjera [4] and some results of Popa [19]-[23]. Also, we establish another common fixed point theorem for four occasionally weakly compatible single and set-valued maps of Greguš type which improves the results of Djoudi and Nisse [5], Pathak et al. [17] and others and we end our work by giving another theorem which generalizes the results given by Elamrani and Mehdaoui [6], Mbarki [14] and references therein.